Question

Draw three lines that are parallel to the x-axis. Read the ordered pairs for points on each line. What generalization can you make about the ordered pairs for lines parallel to the x-axis?

Answer 1

If the line is parallel to the x-axis than only x value changes and y value remains constant.

Explanation:

Consider the provided information.

We need to draw three lines that are parallel to the x-axis.

The required graph is shown below:

Now the ordered pairs for points on each line is:

For line y=-3 The ordered pairs are (-1,-3), (0,-3) and (1,-3)

For line y=2 The ordered pairs are (-2,2), (2,2) and (3,2)

For line y=4 The ordered pairs are (-3,4), (0,4) and (4,4)

Here we can observe the x value changes but y values remains constant.

Therefore, if the line is parallel to the x-axis than only x value changes and y value remains constant.